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- W2951106413 abstract "The concept of lackadaisical quantum walk -- quantum walk with self loops -- was first introduced for discrete-time quantum walk on one-dimensional line. Later it was successfully applied to improve the running time of the spacial search on two-dimensional grid. In this paper we study search by lackadaisical quantum walk on the two-dimensional grid with multiple marked vertices. First, we show that the lackadaisical quantum walk, similarly to the regular (non-lackadaisical) quantum walk, has exceptional configuration, i.e. placements of marked vertices for which the walk has no speed-up over the classical exhaustive search. Next, we demonstrate that the weight of the self-loop suggested in the previous papers is not optimal for multiple marked vertices. And, last, we show how to adjust the weight of the self-loop to overcome the aforementioned problem." @default.
- W2951106413 created "2019-06-27" @default.
- W2951106413 creator A5061918159 @default.
- W2951106413 date "2018-08-02" @default.
- W2951106413 modified "2023-09-27" @default.
- W2951106413 title "Lackadaisical quantum walks with multiple marked vertices" @default.
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